Vypočítaj strany a uhly trojuholníka ELF
Vypočítaj zostávajúce strany a uhly trojuholníka:
ELF, kde\( \left |EL \right| = 13\ mm \),\( \left |\measuredangle FEL \right| = 59° \),\( \normalsize\left|\measuredangle EFL\right|=103\degree \)
\( \left |EF \right|^{2} = \left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle ELF \right| \)
\( \left |EF \right| = \sqrt {\left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle ELF \right|} \)
\( \left |EF \right| = \sqrt{13^{2} + 11,4^{2} − 2 · 13 · 11,4 · \textrm{cos}\ 18°} \)
\( \normalsize\left|EF\right|\doteq4,1mm \)
\( \left |EF \right|^{2} = \left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle EFL \right| \)
\( \left |EF \right| = \sqrt {\left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle EFL \right|} \)
\( \left |EF \right| = \sqrt{13^{2} + 11,4^{2} − 2 · 13 · 11,4 · \textrm{cos}\ 103°} \)
\( \normalsize\left|EF\right|\doteq4,1mm \)
\( \left |EF \right|^{2} = \left |EL \right|^{2} + \left |FL \right|^{2} + 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle ELF \right| \)
\( \left |EF \right| = \sqrt {\left |EL \right|^{2} + \left |FL \right|^{2} + 2\left |EL \right| \left |FL \right|\textrm{cos}\ \left |\measuredangle ELF \right|} \)
\( \left |EF \right| = \sqrt{13^{2} + 11,4^{2} + 2 · 13 · 11,4 · \textrm{cos}\ 18°} \)
\( \normalsize\left|EF\right|\doteq4,1mm \)
\( \left |EF \right|^{2} = \left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{sin}\ \left |\measuredangle ELF \right| \)
\( \left |EF \right| = \sqrt {\left |EL \right|^{2} + \left |FL \right|^{2} − 2\left |EL \right| \left |FL \right|\textrm{sin}\ \left |\measuredangle ELF \right|} \)
\( \left |EF \right| = \sqrt{13^{2} + 11,4^{2} − 2 · 13 · 11,4 · \textrm{sin}\ 18°} \)
\( \normalsize\left|EF\right|\doteq4,1mm \)